The classical obstacle problem with Hölder continuous coefficients

2022/04/15 by Giovanna Andreucci, Andreucci, Giovanna, Matteo Focardi +1
Computer Science · Mathematics · Engineering · #Contact Mechanics and Variational Inequalities #Nonlinear Partial Differential Equations #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.2204.07535

Abstract

Weiss' and Monneau's type quasi-monotonicity formulas are established for quadratic energies having matrix of coefficients which are Dini, double-Dini continuity, respectively. Free boundary regularity for the corresponding classical obstacle problems under Hölder continuity assumptions is then deduced.

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